Pith Number

pith:WW2KPI5R

pith:2014:WW2KPI5RPCSQV44RDI7DD4AILG

not attested not anchored not stored refs pending

A universal divergence rate for symmetric Birkhoff Sums in infinite ergodic theory

Zemer Kosloff

arxiv:1412.1242 v2 · 2014-12-03 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WW2KPI5RPCSQV44RDI7DD4AILG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:31:11.552145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b4a7a3b178a50af3911a3e31f00859b2de4a4dc8a020a6c8ccf6cdf7000d59

Aliases

arxiv: 1412.1242 · arxiv_version: 1412.1242v2 · doi: 10.48550/arxiv.1412.1242 · pith_short_12: WW2KPI5RPCSQ · pith_short_16: WW2KPI5RPCSQV44R · pith_short_8: WW2KPI5R

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WW2KPI5RPCSQV44RDI7DD4AILG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b5b4a7a3b178a50af3911a3e31f00859b2de4a4dc8a020a6c8ccf6cdf7000d59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47533df77539c5209eab6aeef460f341628379615103e316c856399c142521ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-03T09:22:08Z",
    "title_canon_sha256": "4e684aa4a4214e70ed00da03a1931ba65e97086d4a6dfce63ff2b0fa7f4d2a17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1242",
    "kind": "arxiv",
    "version": 2
  }
}